S-derivative of perturbed mapping and solution mapping for parametric vector equilibrium problems-Reference-Cited by-同舟云学术

S-derivative of perturbed mapping and solution mapping for parametric vector equilibrium problems

Published:2021-07-26 Issue:1 Volume:2021 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Deng Xicai,Zhao Wei

Abstract

AbstractIn this paper, we deal with the sensitivity analysis in vector equilibrium problems by using the S-derivative of a set-valued mapping. We first investigate the S-derivative on a kind of set-valued gap function for the vector equilibrium problems. Based on these results, S-derivative estimations on a perturbed mapping for the parametric vector equilibrium problem are given. Moreover, we provide some examples to illustrate the obtained results. Finally, we derive the S-derivative estimations of a solutions mapping of the parametric vector equilibrium problems via S-derivative estimations of a kind of the parametric variational system.

Funder

National Natural Science Foundation of China

Support Plan for Science and Technology Top-notch Talents of Guizhou Higher Education Institutions

Natural Science Foundation of Guizhou Normal College

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13660-021-02666-z.pdf

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